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3 years ago

Simplify the expression by combining like terms -2x + 3 (2x-2)+4

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

-2x + 6x - 6 + 4

4x -2 Is The Simplified Expression

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The tables represent two linear functions in a system.

tino4ka555 [31]

first function 2nd function

slope =(y2-y1)/(x2-x1) slope =(y2-y1)/(x2-x1)

=(14-2)/(3-0) m = (-3--12/(3-0)

12/3 m=(-3+12)/3

4 m =9/3 =3

y = 4x+2 y = 3x+-12

set these two equations equal

4x+2 = 3x-12

subtract 3x

x+2 = -12

subtract 2 from each side

x = -14

y = 3x-12

y =3*(-14)-12

y = -42-12

y = -54

ChoiceD

3 0

3 years ago

Read 2 more answers

Shawn read 3/4 of a chapter of his history book in 1/6 of an hour at this rate how many chapters of his history book can he read

seropon [69]

One-sixth of an hour is 10 minute
10 minutes 3/4 chapter
Therefore, 10 minutes x 6= 3/4x6
Shawn can read 4.5 chapters in one hour

4 0

3 years ago

What is the most appropriate SI unit for measuring the following items?

pochemuha

Answer: (d) meter

have a good day :)

5 0

3 years ago

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine c

nexus9112 [7]

Answer:

225 feet

Step-by-step explanation:

-245 plus -83 then add 103

7 0

3 years ago